34822674480 has 320 divisors, whose sum is σ = 121957908480. Its totient is φ = 8143027200.

The previous prime is 34822674457. The next prime is 34822674541. The reversal of 34822674480 is 8447622843.

It is a super-5 number, since 5×34822674480⁵ (a number of 54 digits) contains 55555 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37891461 + ... + 37892379.

It is an arithmetic number, because the mean of its divisors is an integer number (381118464).

Almost surely, 2^34822674480 is an apocalyptic number.

34822674480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34822674480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60978954240).

34822674480 is an abundant number, since it is smaller than the sum of its proper divisors (87135234000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34822674480 is a wasteful number, since it uses less digits than its factorization.

34822674480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 34822674480 in words is "thirty-four billion, eight hundred twenty-two million, six hundred seventy-four thousand, four hundred eighty".